HCS Math Dept

Calculators, Computers, & Math
Statistics & Probability
Connections
Pre - Algebra
Algebra I
Geometry
Algebra II
Pre - Calculus
Calculus

CALCULATORS, COMPUTERS, & MATHEMATICS
1 Trimester, 1/2 credit (Available in 2009 - 2010 when the class of 2011 are juniors.)

Calculators, computers, and mathematics is an elective math course designed for high school students. Students will learn how to use theTI-83 graphing calculator as a tool to understand math concepts. The computer will be used as a tool throughout the course. The Internet will be used as a resource to understand and expand on math ideas.

HISTORY OF MATHEMATICS
1 Trimester, 1/2 credit (Available in 2009 - 2010 when the class of 2011 are juniors.)
11^th & 12^th Grades
Prerequisite: 114 Algebra II

This course will give students a different way to learn about mathematics and to study some of the ways it has been developed and discovered. This course is recommended for those students who plan to enter a mathematics related field at the college level. Topics to be studied will include the history of number systems and their development, early civilizations use of mathematics, along with certain historical individuals and topics in mathematics.

INTRO. TO STATISTICS AND PROBABILITY
1 Trimester, 1/2 credit (Available in 2009 - 2010 when the class of 2011 are juniors.)
11^th & 12^th Grades
Prerequisite: 114 Algebra II

This course is intended to develop a deeper understanding of the standards that deal with statistics and probability that are introduced in Algebra I and Algebra II. It will prepare students who plan to go into a math or science related field which will require a statistics course in college. Topics to be covered include data collection and analysis, producing and interpreting plots, and probability with a focus on real world applications.

CONNECTIONS
2 Trimesters long (Two Math credits required for Graduation)
Prerequisite: Staff recommendation

This course provides instruction and practice in basic concepts (adding, subtracting, multiplying, dividing, measurement, percents, statistics and graphs) and it introduces topics such as Beginning Algebra and Geometry, probability, and logical reasoning. Emphasis is placed upon problem solving, daily review of previously taught concepts, and the importance of mathematics in daily life and work in the “real world”.

PRE-ALGEBRA
2 Trimesters long (Two Math credits required for Graduation)
Prerequisite: None

This class is designed to help students make the transition from elementary mathematics to Algebra and to more abstract thinking. Pre-Algebra provides students with pre-requisite skills, concepts and problems solving techniques needed to work through problems individually or in small group endeavors to be successful in Algebra. This class reviews elementary math skills like addition, subtraction, multiplication, and division of whole numbers, fractions, and decimals and then moves to Algebra concepts of integers, equations and number theory.

ALGEBRA I
2 Trimesters long (Two Math credits required for Graduation)
Prerequisite: Satisfactory completion of middle school Course III or Pre Algebra 110

Provides a foundation in basic concepts of algebra with special emphasis on signed numbers, positive and negative exponents, linear equations including systems of linear equations and their graphs. Continuous emphasis is placed on problem solving and critical thinking. Operating with fractions in algebraic expressions and equations is emphasized. Emphasis is placed on perimeter, area and volume of many geometric shapes. Special products and factoring out common factors are emphasized. Functions and function notations are introduced. Radical expressions and quadratics are introduced.

GEOMETRY
2 Trimesters long (Two Math credits required for Graduation)
Prerequisite: Algebra I

Geometry is a one (1) year course in which the student will study inductive and deductive reasoning and their differences. In doing this the student will study points, angle relationships, line relationships, planes, similarity congruence with emphasis on triangles, polygons, circles and arcs, inequalities, ratio and proportion, similar figures, right triangle trigonometry, construction of geometric figures, and locus.

ALGEBRA II
2 Trimesters long (Two Math credits required for Graduation)
Prerequisite: Geometry or taken simultaneously with Geometry

This course expands topics from Algebra I and moves on to solving systems of equations and inequalities; matrices; polynomial functions; irrational and complex numbers; conics, exponential and logarithmic function, sequences and series; statistics and probability; and trigonometric function, identities, and graphs. This course puts an emphasis on applying and connecting these topics to real world situations in technology, career, and everyday life.

PRE-CALCULUS
2 Trimesters long (Two Math credits required for Graduation)
Prerequisite: Algebra II

This course introduces topics dealing with functions (polynomial, rational, trigonometric, exponential, and logarithmic), vectors, parametric equations, conics, discrete math, statistics, data analysis, graph theory, limits, derivatives, and integrals. This course should prepare a student for college level pre-calculus and calculus courses. Applications in science and technology in this course show a practical use for these concepts.

CALCULUS
2 Trimesters long (Two Math credits required for Graduation)
Prerequisite: Pre-calculus

This course develops and takes mathematics to a whole new level. This course develops topics in functions, limits, and continuity; derivatives; integrals; plane curves and polar coordinate; series, power series and complex numbers; vectors; partial derivatives; and integrals over plane and solid regions. This course give real-world applications in science, technology, and careers to show students why calculus is important to their future.